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The Doppler effect is one of the sources of the line broadening in atomic absorption spectroscopy. Atoms moving toward the light source encounter higher-frequency radiation than atoms moving away from the source. The difference in wavelength
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Chapter 8 Solutions
Principles of Instrumental Analysis, 6th Edition
- The Lyman series of spectral lines for the H atom, in the ultraviolet region, arises from transitions from higher levels to n = 1. Calculate the frequency and wavelength of the least energetic line in this series.arrow_forward6.103 Atomic absorption spectroscopy is based on the atomic spectra of the elements being studied. It can be used to determine the impurities in a metal sample. If an element is present, light at the appropriate wavelength is absorbed. You are working with a metal stamping company and the rolled steel you use to form panels for automobile doors is failing at an alarming rate. There is some chance that the problem is unacceptably high levels of manganese in the steel. Given that the atomic spectrum of manganese has three lines near 403 nm, how could you use a spectrometer to determine the amount of manganese in the steel?arrow_forward(a) Calculate the frequency and the wavelength of the line for the n = 6 to n = 4 transition. (b) Is this wavelength longer or shorter than that of the n = 7 to n = 4 transition?arrow_forward
- Which of the following transitions between terms are allowed in the electronic emission spectrum of a many-electron atom: (i) 3D2 → 3P1, (ii) 3P2 → 1S0, (iii) 3F4 → 3D3?arrow_forwardCalculate the wavenumber and wavelength of the line with n = 6 in the Balmer series of the spectrum of atomic hydrogen.arrow_forwardWhat is (a) the energy. (b) the speed of an electron that has been ejected from an orbital of ionization energy 10.0 eV by a photon of radiation of wavelength 110 nm?arrow_forward
- Calculate the size of the quantum involved in the excitation of an electronic motion of frequency 1.0 x 1015 Hz. Ans: 400 kJ/molarrow_forwardPart B The electronic structure of one-dimensional chain of sodium (Na) atoms can be approximately described by the particle-in-a-box model. The energy of each state can be calculated using En=(n^2h^2)/8mL^2, ? = 1, 2, 3, … where L is the length of the 1D chain. Assuming L = a0(N – 1), where N is the number of Na atoms and a0 = 0.360 nm is the internuclear distance. a) Determine the energy gap between the highest occupied energy level and the lowest unoccupied energy level as a function of N. Assume that N is an even number that is large enough (Hint: assume that each Na only contributes 1 electron to the problem and consider the information in Question 1c above.). b) Thermal energy at room temperature is 4.15 × 10–21 J. Calculate the minimum number of Na atoms required so that the energy gap is smaller than the thermal energy.arrow_forwardIf an electron confined to a potential well of width 1.40 nm with infinite barriers on both sides transitions from n=10 to n=9, what will the wavelength of the emitted radiation be?arrow_forward
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